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Finding the Fourth Proportional to 365.96, 549.57 and 285.86

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Solution

The fourth proportional to 365.96, 549.57 and 285.86 is: 429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.96 : 549.57 = 285.86 : x
  2. Step 2: Convert to fraction form
    365.96/549.57 = 285.86/x
  3. Step 3: Cross multiply
    365.96x = 549.57 × 285.86
  4. Step 4: Simplify right side
    365.96x = 157,100.08
  5. Step 5: Solve for x
    x = 157,100.08/365.96
  6. Step 6: Final answer
    x = 429.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.